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Simplifying 7(2 + x) + 6k = 0 (2 * 7 + x * 7) + 6k = 0 (14 + 7x) + 6k = 0 Reorder the terms: 14 + 6k + 7x = 0 Solving 14 + 6k + 7x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 6k + -14 + 7x = 0 + -14 Reorder the terms: 14 + -14 + 6k + 7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6k + 7x = 0 + -14 6k + 7x = 0 + -14 Combine like terms: 0 + -14 = -14 6k + 7x = -14 Add '-7x' to each side of the equation. 6k + 7x + -7x = -14 + -7x Combine like terms: 7x + -7x = 0 6k + 0 = -14 + -7x 6k = -14 + -7x Divide each side by '6'. k = -2.333333333 + -1.166666667x Simplifying k = -2.333333333 + -1.166666667x
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